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545414414545 = 5711213292511361
BaseRepresentation
bin1111110111111010011…
…10111000000011010001
31221010210212110000012001
413323331032320003101
532414002042231140
61054320535434001
754255610013320
oct7737516700321
91833725400161
10545414414545
111a0344244300
1289856225901
133c580b79510
141c58092a0b7
15e2c2b30e9a
hex7efd3b80d1

545414414545 has 192 divisors, whose sum is σ = 920279646720. Its totient is φ = 301593600000.

The previous prime is 545414414543. The next prime is 545414414593.

545414414545 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 545414414545 - 21 = 545414414543 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 545414414495 and 545414414504.

It is not an unprimeable number, because it can be changed into a prime (545414414543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 400744665 + ... + 400746025.

It is an arithmetic number, because the mean of its divisors is an integer number (4793123160).

Almost surely, 2545414414545 is an apocalyptic number.

545414414545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

545414414545 is a deficient number, since it is larger than the sum of its proper divisors (374865232175).

545414414545 is a wasteful number, since it uses less digits than its factorization.

545414414545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1677 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 46.

It can be divided in two parts, 545414 and 414545, that added together give a palindrome (959959).

The spelling of 545414414545 in words is "five hundred forty-five billion, four hundred fourteen million, four hundred fourteen thousand, five hundred forty-five".